Analytic hypercyclic operators |
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| Author |
Dept. of Functional Analysis, Institute for Applied Problems,of Mechanics and Mathematics, 3b Str. Naukova, Lviv 79060, Ukraine, Pre-Carpathian National University, 57 Str. Shevchenko, Ivano-Frankivsk, 76000, Ukraine
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| Abstract |
We propose a simple method how to construct analytic hypercyclic operators on Fréchet spaces and Banach spaces. Some examples are presented.
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| Keywords |
analytic hypercyclic operator, Frechet space, Banach space
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| DOI |
doi:10.30970/ms.29.2.218-220
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Reference |
1. N.~Bernades. On orbits of polynomial maps in Banach space// Quaestiones Math. 21 (1998), 311-318.
2. P.S.~Bourdon and J.H.~Shapiro. Cyclic phenomena for composition operators. Mem. Amer. Math. Soc. 125 (1997), no.596, 1--46. 3. K.-G.~Grosse-Erdmann. Universal families and hypercyclic operators// Bull. Amer. Math. Soc. (N.S.) 36 (1999), 345--381. 4. A.~Peris. Chaotic polynomials on Banach spaces// J. Math. Anal. Appl. 287 (2003), 487--493. 5. S.~Rolewicz. On orbits of elements// Studia Math. 33 (1969), 17--22. |
| Pages |
218-220
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| Volume |
29
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| Issue |
2
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| Year |
2008
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| Journal |
Matematychni Studii
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